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A142370 Primes congruent to 19 mod 47. 1

%I #13 Sep 08 2022 08:45:36

%S 19,113,677,1429,1523,1993,2087,2557,3121,3779,3967,4813,5189,5471,

%T 5659,6317,6599,7069,7351,7727,8009,8291,8573,8761,9043,9137,9419,

%U 10453,11299,11393,11863,12239,13367,13649,13931,14401,14683,16187,16657,17033,17597

%N Primes congruent to 19 mod 47.

%H Vincenzo Librandi, <a href="/A142370/b142370.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 46n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[2500]],MemberQ[{19},Mod[#,47]]&] (* _Vincenzo Librandi_, Aug 27 2012 *)

%t Select[Range[19,18000,47],PrimeQ] (* _Harvey P. Dale_, Aug 06 2018 *)

%o (Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 19]; // _Vincenzo Librandi_, Aug 27 2012

%o (PARI) is(n)=isprime(n) && n%47==19 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, Jul 11 2008

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)